Find the equation of the linear function represented by the table below in slopeintercept form.
x y 1 2 2 1 3 0 4 1
Take any two points and find the slope of the line through the two points.
change in y ——————— = slope change in x (1,2) and (2,1) {the first two points} 1  (2) ————— = slope {change in y over change in x} 2  1 1 — = slope {simplified numerator and denominator} 1 slope = 1 {reduced} Take the slope, along with one of the points, and substitute into slopeintercept form, in order to find the yintercept of the line. Slopeintercept form is y = mx + b m is the slope b is the yintercept (1,2) , slope = 1 y = mx + b {slopeintercept form} 2 = 1(1) + b {substituted 1 in for x, 2 for y, and 1 for m} 2 = 1 + b {multiplied 1 by 1} b = 3 {subtracted 1 from each side} Substitute the slope and yintercept back into slopeintercept form. y = mx + b {slopeintercept form} y = 1x  3 {substituted 1 for m, and 3 for b} y = x  3 {dropped the 1 from in front of the x} y = x  3 is the equation of the function represented by the table Ask Algebra House
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